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Olivia and her children went into a grocery store where they sell peaches for $2 each and mangos for $1 each. Olivia has $15 to spend and must buy no less than 8 peaches and mangos altogether. If xx represents the number of peaches purchased and yy represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.

User Adambean
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1 Answer

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Here is an example of how to do it⬇️

Set variables for the quantities we want to find.

Let x = number of apples
Let y = number of oranges


Next, we use these variables to write equations that describes the whole story.

Since the total price is $7.75 and each type of fruit has their own price, we can say

0.40x + 0.35y = 7.55


The other equation will represent the total number of fruits bought all together, as Mark mentioned. Once you have those equations, you solve the system using substitution and elimination methods to solve for the variables x and y.

(If x represents the number of peaches purchased and y represents the number of mangos purchased)

Sorry if this isn’t good explanation but I tried sorry goodluck!
User Maxwilms
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